Lommel,s Integrals
المؤلف:
Bowman, F
المصدر:
Introduction to Bessel Functions. New York: Dover
الجزء والصفحة:
p. 101
25-3-2019
1947
Lommel's Integrals
The two integrals involving Bessel functions of the first kind given by
and
![intx[J_n(alphax)]^2dx
=1/2x^2<span style=]() {[J_n(alphax)]^2-J_(n-1)(alphax)J_(n+1)(alphax)}, " src="http://mathworld.wolfram.com/images/equations/LommelsIntegrals/NumberedEquation2.gif" style="height:62px; width:251px" /> |
where 
is a Bessel function of the first kind.
REFERENCES:
Bowman, F. Introduction to Bessel Functions. New York: Dover, p. 101, 1958.
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